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Journal of Lie Theory 22 (2012), No. 3, 701--722
Copyright Heldermann Verlag 2012



Entropy and Escape of Mass for Hilbert Modular Spaces

Shirali Kadyrov
School of Mathematics, University of Bristol, Bristol BS8 1TW, England
shirali.kadyrov@bristol.ac.uk



We study the relation between metric entropy and escape of mass for the Hilbert modular spaces with the action of a diagonal element.

Keywords: Escape of mass, entropy, diagonal actions, Q-rank one.

MSC: 37A35; 28D20, 22D40

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